{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "several-monroe",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.style.use(\"ggplot\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "imposed-marine",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Ramsey Fringes\n",
    "\n",
    "## 解析方法\n",
    "\n",
    "### 一般含时简谐势二能级系统的解析解\n",
    "\n",
    "首先考虑一般的含简谐势的二能级系统随时间的演化\n",
    "$$\n",
    "H_0 = \n",
    "\\begin{bmatrix}\n",
    "E_1 & 0 \\\\\n",
    "0& E_2\n",
    "\\end{bmatrix}\n",
    ", V(t) = \n",
    "\\begin{bmatrix}\n",
    "0& \\gamma e^{i\\omega t} \\\\\n",
    "\\gamma^\\star e^{-i\\omega t} & 0 \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "其中不妨假定 $E_1 < E_2$  \n",
    "\n",
    "做无量纲化，记单位角动量为 $J_0$，记单位能量为 $E_0$：\n",
    "$$\n",
    "\\begin{cases}\n",
    "J_0 \\triangleq \\hbar  = 1\\\\\n",
    "E_0 \\triangleq E_2 - E_1 = 1\n",
    "\\end{cases} \\\\\n",
    "\\implies \\omega_0 = \\frac{E_2-E_1}{\\hbar} = 1, t_0 = \\frac{2\\pi}{\\omega_0} = 2\\pi\n",
    "$$\n",
    "\n",
    "记系统状态为 $\\psi(t)$ :\n",
    "$$\n",
    "\\psi(t) = \n",
    "\\begin{bmatrix}\n",
    "\\psi_1 \\\\\n",
    "\\psi_2\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "取 Interaction Picture:\n",
    "$$\n",
    "\\psi(t) = \n",
    "\\begin{bmatrix}\n",
    "c_1 e^{-i E_1 \\cdot t} \\\\\n",
    "c_2 e^{-i E_2 \\cdot t}\n",
    "\\end{bmatrix}\n",
    ", V_I(t) = \n",
    "\\begin{bmatrix}\n",
    "0& \\gamma e^{i(\\omega-1) t} \\\\\n",
    "\\gamma^\\star e^{-i(\\omega-1) t} & 0 \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "记失谐 $\\Delta = \\omega - 1$，\n",
    "则在 Interaction Pic 下有 Schrodinger Eq:\n",
    "$$\n",
    "i \\frac{d}{dt} \n",
    "\\begin{bmatrix}\n",
    "c_{1}\\\\\n",
    "c_{2} \n",
    "\\end{bmatrix}\n",
    "= \n",
    "\\begin{bmatrix}\n",
    "0& \\gamma e^{i\\Delta t} \\\\\n",
    "\\gamma^\\star e^{-i\\Delta t} & 0 \n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "c_1  \\\\\n",
    "c_2 \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "做变换化为不含时 ODE 组：\n",
    "$$\n",
    "\\begin{cases}\n",
    "c_1 = e^{i\\frac\\Delta2 t}b_1 \\\\\n",
    "c_2 = e^{-i\\frac\\Delta2 t}b_2\n",
    "\\end{cases}\n",
    "$$\n",
    "$$\n",
    "\\implies \n",
    "i \\frac{d}{dt} \n",
    "\\begin{bmatrix}\n",
    "b_1  \\\\\n",
    "b_2 \n",
    "\\end{bmatrix}\n",
    "= \n",
    "\\begin{bmatrix}\n",
    "\\frac\\Delta2 & \\gamma \\\\ \n",
    "\\gamma^\\star & -\\frac\\Delta2 \n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "b_1  \\\\\n",
    "b_2 \n",
    "\\end{bmatrix}\n",
    "\\triangleq \n",
    "G \n",
    "\\begin{bmatrix}\n",
    "b_1  \\\\\n",
    "b_2 \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "记：\n",
    "$$\n",
    "\\Omega_R = 2 |\\gamma|, \\Omega = \\sqrt{\\Omega_R^2 + \\Delta^2}\n",
    "$$\n",
    "而 $G = \\frac\\Omega2 \\cdot(\\vec\\sigma \\cdot \\hat n)$\n",
    "从而有：\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    "b_1  \\\\\n",
    "b_2 \n",
    "\\end{bmatrix}\n",
    "= \n",
    "e^{-i\\frac\\Omega2 t (\\vec\\sigma \\cdot \\hat n)} \\vec{b}_0\n",
    "$$\n",
    "利用 Pauli Matrix 的性质: \n",
    "$$\n",
    "e^{-i\\phi (\\vec\\sigma \\cdot \\hat n)} = \\cos \\phi -i \\sin\\phi (\\vec\\sigma \\cdot \\hat n)\n",
    "$$\n",
    "则得到 $\\vec{b}(t)$ 的一般表达式：\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    "b_1  \\\\\n",
    "b_2 \n",
    "\\end{bmatrix}\n",
    "= \n",
    "\\begin{bmatrix}\n",
    "\\cos{\\frac\\Omega2 t} - i\\frac\\Delta{\\Omega}\\sin{\\frac\\Omega2 t}&-i\\frac{2\\gamma}\\Omega\\sin{\\frac\\Omega2 t}\\\\\n",
    "- i\\frac{2\\gamma^\\star}\\Omega\\sin{\\frac\\Omega2 t} &\\cos{\\frac\\Omega2 t} + i\\frac\\Delta{\\Omega}\\sin{\\frac\\Omega2 t}\n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "b_{10}  \\\\\n",
    "b_{20} \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "又注意到：\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    "\\psi_{10}  \\\\\n",
    "\\psi_{20} \n",
    "\\end{bmatrix}\n",
    "=\n",
    "\\begin{bmatrix}\n",
    "c_{10}  \\\\\n",
    "c_{20} \n",
    "\\end{bmatrix}\n",
    "=\n",
    "\\begin{bmatrix}\n",
    "b_{10}  \\\\\n",
    "b_{20} \n",
    "\\end{bmatrix}\n",
    ",\n",
    "\\begin{bmatrix}\n",
    "c_{1}  \\\\\n",
    "c_{2} \n",
    "\\end{bmatrix}\n",
    "= \n",
    "\\begin{bmatrix}\n",
    "e^{i\\frac\\Delta2t} & 0 \\\\\n",
    "0& e^{-i\\frac\\Delta2t}\n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "b_1  \\\\\n",
    "b_2 \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "从而得到通解(在相互作用图景下求解)：\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    "c_{1}  \\\\\n",
    "c_{2} \n",
    "\\end{bmatrix}\n",
    "= \n",
    "\\begin{bmatrix}\n",
    "e^{i\\frac\\Delta2t}(\\cos{\\frac\\Omega2 t} - i\\frac\\Delta{\\Omega}\\sin{\\frac\\Omega2 t})\n",
    "&-i e^{i\\frac\\Delta2t} \\frac{2\\gamma}\\Omega\\sin{\\frac\\Omega2 t}\\\\\n",
    "- i e^{-i\\frac\\Delta2t} \\frac{2\\gamma^\\star}\\Omega\\sin{\\frac\\Omega2 t} \n",
    "& e^{-i\\frac\\Delta2t}(\\cos{\\frac\\Omega2 t} + i\\frac\\Delta{\\Omega}\\sin{\\frac\\Omega2 t})\n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "c_{10}  \\\\\n",
    "c_{20} \n",
    "\\end{bmatrix}\n",
    "\\triangleq\n",
    "M(t;\\Delta, \\gamma, E_1, E_2) \\vec\\psi_0\n",
    "$$\n",
    "$M$ 即为本问题的基解矩阵，有参数 $\\Delta, \\gamma, E_1, E_2$\n",
    "\n",
    "### Ramsey Fringes 具体问题应用上述结论\n",
    "\n",
    "#### 问题描述\n",
    "记：\n",
    "$$\n",
    "\\Omega_R = 2 |\\gamma|, \\Omega = \\sqrt{\\Omega_R^2 + \\Delta^2}\n",
    "$$\n",
    "1. $0 \\rightarrow t_0 = \\frac{\\pi}{2\\Omega_R}$ 时间内，对系统作用简谐势(如微波)  \n",
    "2. $t_0 \\rightarrow t_0 + T$ 时间内，移开微波(但并不关闭)，此时间内系统依照 $H_0$ 演化\n",
    "3. $t_0 + T \\rightarrow 2t_0 + T$ 时间内，重新移回微波装置对系统作用  \n",
    "\n",
    "我们希望考察低能级到高能级的转移概率 $P_{1\\rightarrow2}(2t_0+T)$ 和 失谐 $ \\Delta$ 之间的相互关系\n",
    "\n",
    "#### 应用上述结论求解\n",
    "\n",
    "由上述结论和问题描述,有系统末态:\n",
    "$$\n",
    "\\vec c(2t_0 + T) = \n",
    "M(t_0; \\Delta, \\frac{\\Omega_R}2 e^{i\\Delta(t_0 + T)}, E_1, E_2)\n",
    "\\cdot\n",
    "M(t_0; \\Delta, \\frac{\\Omega_R}2, E_1, E_2)\n",
    "\\vec c_0\n",
    "$$\n",
    "\n",
    "并注意到初态完全处于低能态，带入上述计算的结论，得到低能级到高能级的转移概率的表达式：\n",
    "$$\n",
    "P_{1\\rightarrow2}(2t_0 + T) = {|c_2(2t_0 + T)|}^2\n",
    "= {\\Big(\\frac{2\\Omega_R}{\\Omega}\\sin{\\frac{\\Omega t_0}{2}} \n",
    "\\big[ \\cos{\\frac{\\Omega t_0}{2}} \\cos{\\frac{\\Delta T}{2}} \n",
    "-\\frac\\Delta\\Omega \\sin{\\frac{\\Omega t_0}{2}} \\sin{\\frac{\\Delta T}{2}}\n",
    "\\big] \\Big)}^2\n",
    "$$\n",
    "\n",
    "### 结果分析\n",
    "\n",
    "#### 取零级近似\n",
    "\n",
    "注意到 $\\Omega_R t_0 = \\frac\\pi2$，考虑$\\frac\\Delta{\\Omega_R} \\rightarrow 0$ 的零级近似，则有：\n",
    "$$\n",
    "\\Omega t_0 \\approx \\frac\\pi2\n",
    "$$\n",
    "$$\n",
    "\\implies\n",
    "\\begin{cases}\n",
    "\\sin{\\Omega t_0} \\approx 1,  \\sin{\\frac{\\Omega t_0}2} \\approx \\frac1{\\sqrt2}\\\\\n",
    "\\cos{\\Omega t_0} \\approx 0\n",
    "\\end{cases}\n",
    "$$\n",
    "并略去结果中$\\Delta$的高阶项，得到零级近似结果：\n",
    "$$\n",
    "P^{(0)}_{1\\rightarrow2}(2t_0+T) = \\frac12\\frac{\\Omega_R^2}{\\Omega^2}(1-\\cos{T \\Delta})\n",
    "= \\frac1{2(1+\\frac{\\Delta^2}{\\Omega^2_R})}(1-\\cos{T \\Delta})\n",
    "$$\n",
    "又注意到 $T$ 是一个较大的量  \n",
    "从而在这个零级近似结果中，我们已经可以看到一个高频信号在其中，而其包络即为正常的简谐势二能级系统演化过程中的转移概率幅度随失谐的变化(这已经定性展现出了 Ramsey Fringes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "similar-somalia",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'np' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-1-4937ddf78ba0>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0momegaR\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m200\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mT\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0momegaR\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mDelta\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlinspace\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m3.5\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m3.5\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m10000\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      7\u001b[0m \u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcos\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mDelta\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mDelta\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0max\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'np' is not defined"
     ]
    }
   ],
   "source": [
    "# 取 omega_R 作为单位，定义为 1， 不妨设 omegaR = 200 Hz\n",
    "# 则时间的基本单位为 1/omegaR\n",
    "# 若取 T = 1s, 在 omega_R 这个单位下，T = omegaR 是一个较大值\n",
    "omegaR = 200\n",
    "T = omegaR\n",
    "Delta = np.linspace(-3.5,3.5,10000)\n",
    "p = (1-np.cos(T*Delta))/2/(1+Delta**2)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(Delta,p)\n",
    "ax.set_title(r\"Zeroth-Order Approximation: $P^{(0)}_{1\\rightarrow2}(2t_0+T)$\",fontsize=23)\n",
    "ax.set_xlabel(r\"$\\Delta/\\Omega_R,\\Omega_R = 200 Hz,T = 1s$\",fontsize=20)\n",
    "ax.set_ylabel(r\"Transition Probability\",fontsize=20)\n",
    "fig.set_size_inches((12.6,9))\n",
    "fig.savefig(\"RamseyFringes_0order.png\",dpi=400)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "covered-preference",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 907.2x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "omegaR = 200\n",
    "T = omegaR\n",
    "Delta = np.linspace(-3.8,3.8,10000)\n",
    "omega = np.sqrt(1+Delta**2)\n",
    "t0 = np.pi/2\n",
    "p = (2*np.sin(omega*t0/2)/omega*(np.cos(omega*t0/2)*np.cos(Delta*T/2) - Delta/omega*np.sin(omega*t0/2)*np.sin(Delta*T/2)) )**2\n",
    "#p = np.sin(omega*t0/2)**2/omega**2*( (1-np.cos(omega*t0))*(1-np.cos(Delta*T)) + 2*Delta/omega*np.sin(omega*t0)*np.sin(Delta*T) + Delta**2/omega**2*(1+np.cos(omega*t0))*(1+np.cos(Delta*T)))\n",
    "\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(Delta,p)\n",
    "ax.set_title(r\"Precise Result: $P_{1\\rightarrow2}(2t_0+T)$\",fontsize=23)\n",
    "ax.set_xlabel(r\"$\\Delta/\\Omega_R,\\Omega_R = 200 Hz,T = 1s$\",fontsize=20)\n",
    "ax.set_ylabel(r\"Transition Probability\",fontsize=20)\n",
    "fig.set_size_inches((12.6,9))\n",
    "fig.savefig(\"RamseyFringes_precise.png\",dpi=400)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "worthy-south",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:mysci]",
   "language": "python",
   "name": "conda-env-mysci-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  },
  "toc-autonumbering": false
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
